Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800d |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
873025260800 = 28 · 52 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ -7 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100273,12188043] |
[a1,a2,a3,a4,a6] |
Generators |
[182:7:1] |
Generators of the group modulo torsion |
j |
17422083655275520/136410197 |
j-invariant |
L |
2.4337371901257 |
L(r)(E,1)/r! |
Ω |
0.79700170131909 |
Real period |
R |
3.0536160538901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15400g1 123200eu1 30800u1 |
Quadratic twists by: -4 8 5 |